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Finding the Fourth Proportional to 9,698.54, 14,548.11 and 2,679.08

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Solution

The fourth proportional to 9,698.54, 14,548.11 and 2,679.08 is: 4,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.54 : 14,548.11 = 2,679.08 : x
  2. Step 2: Convert to fraction form
    9,698.54/14,548.11 = 2,679.08/x
  3. Step 3: Cross multiply
    9,698.54x = 14,548.11 × 2,679.08
  4. Step 4: Simplify right side
    9,698.54x = 38,975,477.80
  5. Step 5: Solve for x
    x = 38,975,477.80/9,698.54
  6. Step 6: Final answer
    x = 4,018.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.